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94102901442225 = 3252132497472
BaseRepresentation
bin10101011001011000001010…
…000000110100011010110001
3110100012011000222222212010100
4111121120022000310122301
544313240220232122400
6532050135350423013
725551465423354564
oct2531301200643261
9410164028885110
1094102901442225
1127a908a8674365
12a679933361a69
134067b3374cc00
1419348675524db
15ad2c74648100
hex55960a0346b1

94102901442225 has 81 divisors (see below), whose sum is σ = 182515039764993. Its totient is φ = 46326650984640.

The previous prime is 94102901442197. The next prime is 94102901442241. The reversal of 94102901442225 is 52224410920149.

The square root of 94102901442225 is 9700665.

It is a perfect power (a square), and thus also a powerful number.

94102901442225 is a `hidden beast` number, since 9 + 4 + 102 + 90 + 14 + 422 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24255162052209 + 69847739390016 = 4924953^2 + 8357496^2 .

It is not a de Polignac number, because 94102901442225 - 239 = 93553145628337 is a prime.

It is a super-2 number, since 2×941029014422252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1891604802 + ... + 1891654548.

Almost surely, 294102901442225 is an apocalyptic number.

94102901442225 is the 9700665-th square number.

94102901442225 is the 4850333-rd centered octagonal number.

It is an amenable number.

94102901442225 is a deficient number, since it is larger than the sum of its proper divisors (88412138322768).

94102901442225 is an frugal number, since it uses more digits than its factorization.

94102901442225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99536 (or 49768 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 94102901442225 in words is "ninety-four trillion, one hundred two billion, nine hundred one million, four hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 38025 49747 149241 248735 447723 646711 746205 1243675 1940133 2238615 3233555 3731025 5820399 8407243 9700665 11193075 16167775 25221729 29101995 42036215 48503325 75665187 126108645 145509975 210181075 378325935 630543225 1891629675 2474764009 7424292027 12373820045 22272876081 32171932117 37121460135 61869100225 96515796351 111364380405 160859660585 185607300675 289547389053 418235117521 482578981755 556821902025 804298302925 1254705352563 1447736945265 2091175587605 2412894908775 3764116057689 6273526762815 7238684726325 10455877938025 18820580288445 31367633814075 94102901442225